45013297152 has 192 divisors, whose sum is σ = 124678794240. Its totient is φ = 14431076352.

The previous prime is 45013297151. The next prime is 45013297193. The reversal of 45013297152 is 25179231054.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×45013297152² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 45013297152.

It is not an unprimeable number, because it can be changed into a prime (45013297151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17699593 + ... + 17702135.

It is an arithmetic number, because the mean of its divisors is an integer number (649368720).

Almost surely, 2^45013297152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45013297152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62339397120).

45013297152 is an abundant number, since it is smaller than the sum of its proper divisors (79665497088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45013297152 is a wasteful number, since it uses less digits than its factorization.

45013297152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 45013297152 in words is "forty-five billion, thirteen million, two hundred ninety-seven thousand, one hundred fifty-two".